The first triangle is an acute triangle.
The second triangle is an obtuse triangle.
The third triangle is a right triangle.
A triangle has angles measuring 35 degrees, 118 degrees, and 27 degrees.
A triangle has tick marks on all three sides and three angles all measuring less than 90 degrees.
A triangle has angles measuring 38 degrees, 90 degrees, and 52 degrees.
The second triangle is an obtuse triangle.
The third triangle is a right triangle.
It said all angles are less than 90, so it is acute
The bot's answer of obtuse would mean one of the angle is > 90°
Since it has tick marks on all 3 sides, it must be equilateral, with all
angles equal to 60°
If the acute angles of the right triangle are 2x+6 and 3x−26, then the measure of the right angle is 90 degrees.
Therefore, we can use the Triangle Angle Sum Theorem to solve for x:
2x+6 + 3x−26 + 90 = 180
5x+70 = 180
5x = 110
x = 22
Now that we know x, we can substitute it back into the expressions for the acute angles to find their measures:
2x+6 = 50 degrees
3x−26 = 28 degrees
So, the acute angles of the right triangle measure 50 and 28 degrees, while the right angle measures 90 degrees.
1. A triangle with angles measuring 35 degrees, 118 degrees, and 27 degrees:
To classify this triangle, we need to compare the angle measures to the standard types of triangles. Here are the options:
- Acute triangle: All angles are less than 90 degrees.
- Obtuse triangle: One angle is greater than 90 degrees.
- Right triangle: One angle is exactly 90 degrees.
Since none of the angles in this triangle are greater than 90 degrees, we can determine that it is an acute triangle.
2. A triangle with tick marks on all three sides and three angles measuring less than 90 degrees:
To classify this triangle, we can apply the same logic as above. Here are the options:
- Acute triangle: All angles are less than 90 degrees.
- Obtuse triangle: One angle is greater than 90 degrees.
- Right triangle: One angle is exactly 90 degrees.
Since all three angles are less than 90 degrees, we can classify this triangle as an acute triangle.
3. A triangle with angles measuring 38 degrees, 90 degrees, and 52 degrees:
Using the same classification criteria, we can determine:
- Acute triangle: All angles are less than 90 degrees.
- Obtuse triangle: One angle is greater than 90 degrees.
- Right triangle: One angle is exactly 90 degrees.
In this case, we have one angle exactly measuring 90 degrees (a right angle), so we can classify this triangle as a right triangle.
Therefore, the classifications of the given triangles based on their angle measures are:
1. Acute triangle
2. Acute triangle
3. Right triangle.